Least Common Multiple of 3724 and 3728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3724 and 3728 the smallest integer that is 3470768 that is divisible by both numbers.

Least Common Multiple (LCM) of 3724 and 3728 is 3470768.

LCM(3724,3728) = 3470768

LCM of 3724 and 3728

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3724 and 3728

LCM of 3724 and 3728 is 3470768

Least common multiple can be found by multiplying the highest exponent prime factors of 3724 and 3728. First we will calculate the prime factors of 3724 and 3728.

Prime Factorization of 3724


2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 3724 are 2, 7,19. Prime factorization of 3724 in exponential form is:

3724 = 22×72×191

Prime Factorization of 3728


2 3728
2 1864
2 932
2 466
233 233
1

Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:

3728 = 24×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3724 and 3728.

LCM(3724,3728) = 24×72×191×2331
LCM(3724,3728) = 3470768

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724

Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

Least Common Multiple of 3724 and 3728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3724 and 3728, than apply into the LCM equation.

GCF(3724,3728) = 4
LCM(3724,3728) = ( 3724 × 3728) / 4
LCM(3724,3728) = 13883072 / 4
LCM(3724,3728) = 3470768

Properties of LCM 3724 and 3728

(i) The LCM of 3728 and 3724 is associative

LCM of 3724 and 3728 = LCM of 3728 and 3724

Related Least Common Multiples of 3724

Related Least Common Multiples of 3728

Frequently Asked Questions on LCM of 3724 and 3728

1. What is the LCM of 3724 and 3728?

Answer: LCM of 3724 and 3728 is 3470768.

2. What are the Factors of 3724?

Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.

3. What are the Factors of 3728?

Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.

4. How to Find the LCM of 3724 and 3728?

Answer:

Least Common Multiple of 3724 and 3728 = 3470768

Step 1: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 3728

3728 = 2 x 2 x 2 x 2 x 233

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3470768 = 2 x 2 x 2 x 2 x 7 x 7 x 19 x 233

Step 4: Therefore, the least common multiple of 3724 and 3728 is 3470768.